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- Title
THE IDEAL-BASED TRIPLE ZERO GRAPH OF A COMMUTATIVE RING.
- Authors
YETKIN CELIKEL, ECE
- Abstract
Let R be a commutative ring with 1 6 ... 0 and I a proper ideal of R. The primary focus of this paper is a generalization of the triple zero graph which is called the ideal-based triple zero graph. Let TZI(R) = {x ∈ R : xyz ∈ I for some y, z ∈ R such that xy, yz, xz /... I}. In this paper, we introduce the ideal based triple zero graph of R with respect to I denoted by TZΓI(R) with vertices T ZI(R). Two distinct vertices x and y are adjacent if and only if xy /... I and xyz ∈ I for some z R such that yz, xz /... I.
- Subjects
COMMUTATIVE rings; AZUMAYA algebras; POLYNOMIALS; GRAPHIC methods; MATHEMATICS
- Publication
Sarajevo Journal of Mathematics, 2018, Vol 14, Issue 1, p25
- ISSN
1840-0655
- Publication type
Article
- DOI
10.5644/SJM.14.1.03